Which set of numbers does 13−−√ belong?
a) irrational numbers
b) whole numbers
c) natural numbers
d) integers
to which sets of numbers does −1/4 belong? select each correct answer.irrational numbers
integers
rational numbers
real numbers

Option A for first question.

Options C and D for second question.

Step-by-step explanation:

Which set of numbers does 13−−√ belong?

The answer is option A: irrational numbers

This is because the square root of 13 is a decimal number that does not end. Irrational numbers are those which cannot be expressed in a ratio form  and also cannot be written as a simple fraction.

To which sets of numbers does −1/4 belong?

The answer is option C and D: rational numbers  and real numbers

This is because real numbers are made up of rational and irrational numbers. We also know that every real number is either a rational number or irrational number.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4